14 citations · 103 across the 42 of their papers we have counts for
42 papers
Single-exponential bounds for diagonals of D-finite power series
Shaoshi Chen, Frédéric Chyzak, Pingchuan Ma +1
D-finite power series appear ubiquitously in combinatorics, number theory, and mathematical physics. They satisfy systems of linear partial differential equations whose solution sp…
Bijections around Springer numbers
Shaoshi Chen, Yang Li, Zhicong Lin +1
Arnol'd proved in 1992 that Springer numbers enumerate the Snakes, which are type analogs of alternating permutations. Chen, Fan and Jia in 2011 introduced the labeled ballot p…
Parallel Summation in P-Recursive Extensions
Shaoshi Chen, Ruyong Feng, Manuel Kauers +1
We propose investigating a summation analog of the paradigm for parallel integration. We make some first steps towards an indefinite summation method applicable to summands that ra…
Stability Problems on D-finite Functions
Shaoshi Chen, Ruyong Feng, Zewang Guo +1
This paper continues the studies of symbolic integration by focusing on the stability problems on D-finite functions. We introduce the notion of stability index in order to investi…
Reduction-based Creative Telescoping for P-recursive Sequences via Integral Bases
Shaoshi Chen, Lixin Du, Manuel Kauers +1
We propose a way to split a given bivariate P-recursive sequence into a summable part and a non-summable part in such a way that the non-summable part is minimal in some sense. Thi…
Reducing Hyperexponential Functions over Monomial Extensions
Shaoshi Chen, Hao Du, Yiman Gao +1
We extend the shell and kernel reductions for hyperexponential functions over the field of rational functions to a monomial extension. Both of the reductions are incorporated into…